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Finding the Fourth Proportional to 24,048.56, 36,074.65 and 7,180.24

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Solution

The fourth proportional to 24,048.56, 36,074.65 and 7,180.24 is: 10,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048.56 : 36,074.65 = 7,180.24 : x
  2. Step 2: Convert to fraction form
    24,048.56/36,074.65 = 7,180.24/x
  3. Step 3: Cross multiply
    24,048.56x = 36,074.65 × 7,180.24
  4. Step 4: Simplify right side
    24,048.56x = 259,024,644.92
  5. Step 5: Solve for x
    x = 259,024,644.92/24,048.56
  6. Step 6: Final answer
    x = 10,770.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.